1 / 13

VAL JOSEPH DE GUZMAN

EXPONENTS. VAL JOSEPH DE GUZMAN. Laws of Exponents. First Law of exponent. It is in the form “ a n a m ” where both n and m are exponents. Solution: a n+m Example:2 3 (2 2 ) =2 3+2 =2 5 =32. Second Law of Exponents. It is in the form “ a n /a m ”.

haamid
Télécharger la présentation

VAL JOSEPH DE GUZMAN

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. EXPONENTS VAL JOSEPH DE GUZMAN

  2. Laws of Exponents

  3. First Law of exponent It is in the form “anam” where both n and m are exponents. Solution: an+m Example:23(22) =23+2 =25 =32

  4. Second Law of Exponents It is in the form “an/am”. Solution: a. If n is greater than m use an-m b. If n is less than m use 1/an-m Example:23/22 =23-2 =2

  5. Third Law of Exponents It is in the form “(an)m”. Solution:anm Example:(32)4 =32(4) =38 =6561

  6. Fourth Law of Exponents If you had encounter an equation like this “(anbm)r”. Solution:arnbrm Example:(43 x 32)2 =46 x 34 =4096 x 81 =331,776

  7. Activity Simplify each of the following. 1. b2 X b3 7. (xy3)(x2yz3)3 2. c4/c3 8.a4b2c3/abc 3. (42 x 32)2 9. a2b2/a2b2 4. (a3b2)(a2b) 10. 4a3b4/2ab 5. (x2y3)2 11. (a6b2)6 6. B2 x aB2 12. 2a2 x a4

  8. Negative Exponents

  9. Equations like “a-1” is the same as “1/a”. Example:1) 2-2 =1/22 =1/4 2) 3-4 =1/34 =1/81

  10. Activity Transform each equation into an equation with a positive exponent. 1. 5-4 5. (ab3)-1 2. (3-2)-3 6. xy-3 3. (1/5)-3 7. (a+b)-2(a-2+b-2) 4. 2-1+3-2

  11. Fractional Exponents

  12. An expression like “an/m” is the same as the the expression “ m√an Example:1)33/2 =√33 =√27 2)82/3 =3√82 =3√64 =4

  13. Activity Express each with positive exponents. • 91/2 • 9-1/2 • (a/b)-1/2 • (x2y3)1/4

More Related